The vertex PI index of a graph G is the sum over all edges uv ∈ E(G) of the number of vertices which are not equidistant to u and v. In this paper, the extremal values of this new topological index are computed. In particular, we prove that for each n-vertex graph 2 , where x denotes the greatest i
✦ LIBER ✦
Bicyclic graphs with extremal values of PI index
✍ Scribed by Žana Kovijanić Vukićević; Dragan Stevanović
- Book ID
- 119225079
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 223 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
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The Padmakar-Ivan index of a graph G is the sum over all edges uv of G of number of edges which are not equidistant from u and v. In this work, an exact expression for the PI index of the Cartesian product of bipartite graphs is computed. Using this formula, the PI indices of C 4 nanotubes and nanot